On the classical limit of quantum mechanics, fundamental graininess and chaos: Compatibility of chaos with the correspondence principle

• Autores: Gomez, Ignacio Sebastián; Castagnino, Mario Alberto G. J.
• Año de publicación: 2014
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Weak Limit; Local Csco; Van Hove Observables; Graininess
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

The aim of this paper is to review the classical limit of Quantum Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introduce a formalism for this classical limit that allows us to find the surfaces defined by the constants of the motion in phase space. Then in the integrable case we will find the classical trajectories, and in the non-integrable one the fact that regular initial cells become “amoeboid-like”. This deformations and their consequences can be considered as a threat to the correspondence principle unless we take into account the characteristic timescales of quantum chaos. Essentially we present an analysis of the problem similar to the one of Omnès (1994,1999), but with a simpler mathematical structure
Fil: Gomez, Ignacio Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Castagnino, Mario Alberto G. J.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina